2. Question

1 points

The number of integers in between 100 and 600. which are divisible by 4 and 6 both. is

41

40

52

42

Correct

\(Explanation\)
We have to find such numbers which are divisible by 12. (LCM of 4 and 6).
Number of numbers divisible by 12 and lying between 1 to 600
\(=\frac{600}{12}-1=49\)
Number of numbers by 12 from 1 to 100 \(=\frac{100}{12}=8\)
\(\therefore Required\) answer
\(=49-8=41\)

Incorrect

\(Explanation\)
We have to find such numbers which are divisible by 12. (LCM of 4 and 6).
Number of numbers divisible by 12 and lying between 1 to 600
\(=\frac{600}{12}-1=49\)
Number of numbers by 12 from 1 to 100 \(=\frac{100}{12}=8\)
\(\therefore Required\) answer
\(=49-8=41\)

12. Question

A man traveled a distance of 80 km in 7 hr partly on foot at the rate of 8 km per hour and partly on bicycle at 16km per hour. The distance traveled on the foot is

32 km

36 km

48 km

44 km

Correct

\(Explanation\)

Journey on foot \(x \)km

Journey on cycle \(=(80-x)\)km

\(\therefore \frac{x}{8}+\frac{80-x}{16}=7\)

\(\Rightarrow \frac{2x+80-x}{16}=7\)

\(\Rightarrow x+80=16\times7=112\)

\(x=122-80=32 km\)

Incorrect

\(Explanation\)

Journey on foot \(x \)km

Journey on cycle \(=(80-x)\)km

\(\therefore \frac{x}{8}+\frac{80-x}{16}=7\)

\(\Rightarrow \frac{2x+80-x}{16}=7\)

\(\Rightarrow x+80=16\times7=112\)

\(x=122-80=32 km\)

Question 13 of 100

13. Question

1 points

A car driver leaves Bangalore at 8.30 A.m and expects to reach a place 300 km from Bangalore at 12.30 P.M at 10.30 He finds that he has covered only 40% of the distance. By how much he has to increase the speed of the car in order to keep up his schedule

30 kmph

35 kmph

45 kmph

40 kmph

Correct

\(Explanation\)

Distance covered by car in 2 hours

\(=\frac{300\times40}{100}=120km\)

Remaining distance \(=300-120=180 km\)

Remaining time \(=4-2\)

=2 hours

\(\therefore Required speed =\frac{180}{2}=90kmph\)

Original speed of car \(=\frac{120}{2}=60 kmph\)

\(\therefore \)Required increase in speed \(=90-60=30 kmph\)

Incorrect

\(Explanation\)

Distance covered by car in 2 hours

\(=\frac{300\times40}{100}=120km\)

Remaining distance \(=300-120=180 km\)

Remaining time \(=4-2\)

=2 hours

\(\therefore Required speed =\frac{180}{2}=90kmph\)

Original speed of car \(=\frac{120}{2}=60 kmph\)

\(\therefore \)Required increase in speed \(=90-60=30 kmph\)

Question 14 of 100

14. Question

1 points

A student goes to school at the rate of \(\frac{5}{2} \)km/hr. and reaches 6 minutes late. if the travels at the speed of 3km/hr. he reaches 10 minutes earlier. The distance of the school is

4 km

20 km

10 km

15 km

Correct

\(Explanation\)

Distance of school \(x\)km

Difference of time

\(16 min. = \frac{16}{60}hours\)

\(\therefore \frac{x}{\frac{5}{2}}-\frac{x}{3}=\frac{16}{60}\)

\(\Rightarrow \frac{2x}{5}-\frac{x}{3}=\frac{4}{15}\)

\(\Rightarrow \frac{6x-5x}{15}=\frac{4}{15}\)

\(\Rightarrow \frac{x}{15}=\frac{4}{15}\)

\(\Rightarrow x=\frac{4}{15}\times 15=4km\)

Incorrect

\(Explanation\)

Distance of school \(x\)km

Difference of time

\(16 min. = \frac{16}{60}hours\)

\(\therefore \frac{x}{\frac{5}{2}}-\frac{x}{3}=\frac{16}{60}\)

\(\Rightarrow \frac{2x}{5}-\frac{x}{3}=\frac{4}{15}\)

\(\Rightarrow \frac{6x-5x}{15}=\frac{4}{15}\)

\(\Rightarrow \frac{x}{15}=\frac{4}{15}\)

\(\Rightarrow x=\frac{4}{15}\times 15=4km\)

Question 15 of 100

15. Question

1 points

A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/hr. and rest at 45 km/hr. Find the total distance traveled by him.

270 Km

189 Km

378 Km

255 Km

Correct

\(Explanation\)

Let the distance covered be \(2x\)

\(Time=\frac{Distance}{speed}\)

According to the question

\(\frac{x}{60}+\frac{x}{45}=5\frac{15}{60}=5\frac{1}{4}\)

\(\Rightarrow \frac{3x+4x}{180}=\frac{21}{4}\)

\(\Rightarrow 7x=\frac{21}{4}\times 180\)

\(x=\frac{21\times 180}{4\times 7}=135 km\)

\(\therefore\) Length of total journey

\(=2\times 135=270 km\)

Incorrect

\(Explanation\)

Let the distance covered be \(2x\)

\(Time=\frac{Distance}{speed}\)

According to the question

\(\frac{x}{60}+\frac{x}{45}=5\frac{15}{60}=5\frac{1}{4}\)

\(\Rightarrow \frac{3x+4x}{180}=\frac{21}{4}\)

\(\Rightarrow 7x=\frac{21}{4}\times 180\)

\(x=\frac{21\times 180}{4\times 7}=135 km\)

\(\therefore\) Length of total journey

\(=2\times 135=270 km\)

Question 16 of 100

16. Question

1 points

A train is running at a speed of 116 km\hr. The distance covered by the train in meters in 18 seconds is

580 metre

1160 metre

900 metre

508 metre

Correct

\(Explanation\)

Speed of train \(=116 kmph\)

\(=(116\times\frac{5}{18})\frac{m}{sec.}\)

\(=(\frac{580}{18}) m/s\)

\(\therefore \)Required distance

\(=Speed \times Time\)

\(=(\frac{580}{18}\times 18)metre\)

\(=580 metre\)

Incorrect

\(Explanation\)

Speed of train \(=116 kmph\)

\(=(116\times\frac{5}{18})\frac{m}{sec.}\)

\(=(\frac{580}{18}) m/s\)

\(\therefore \)Required distance

\(=Speed \times Time\)

\(=(\frac{580}{18}\times 18)metre\)

\(=580 metre\)

Question 17 of 100

17. Question

1 points

A man completes 30 km of a journey at the speed of 6 km/hr. and the remaining 40 km of the journey in 5 hours. His average speed for the whole journey

7 kmph

8 kmph

7.5 kmph

9 kmph

Correct

\(Explanation\)

Time taken to cover 30 km at \(60 kmph =\frac{30}{6}=5 hours\)

Time taken to cover \(40km=5 hours\)

\(\therefore Average speed\)

\(=\frac{Total Distance}{Total Time}=\frac{30+40}{10}\)

\(=\frac{70}{10}=7kmph\)

Incorrect

\(Explanation\)

Time taken to cover 30 km at \(60 kmph =\frac{30}{6}=5 hours\)

Time taken to cover \(40km=5 hours\)

\(\therefore Average speed\)

\(=\frac{Total Distance}{Total Time}=\frac{30+40}{10}\)

\(=\frac{70}{10}=7kmph\)

Question 18 of 100

18. Question

1 points

A man covers the journey from a station A to station B at a uniform speed of 36 km/hr and returns to A with a uniform speed of 45 km/hr. His average speed for the whole journey is

40 kmph

42 kmph

45 kmph

35 kmph

Correct

\(Explanation\)

Here same distance are covered at different speeds.

\(\therefore \)Average speed

\((\frac{2xy}{x+y})kmph\)

\(=(\frac{2\times36\times45}{(36+45)})kmph\)

\(=\frac{2\times36\times45}{81}=40 kmph\)

Incorrect

\(Explanation\)

Here same distance are covered at different speeds.

\(\therefore \)Average speed

\((\frac{2xy}{x+y})kmph\)

\(=(\frac{2\times36\times45}{(36+45)})kmph\)

\(=\frac{2\times36\times45}{81}=40 kmph\)

Question 19 of 100

19. Question

1 points

A train traveled at a speed of 35 km/hr for the first 10 minutes and at a speed of 20 km/hr for the next 5 minutes. The average speed of the train for the total 15 minutes

30 kmph

31 kmph

29 kmph

23 kmph

Correct

\(Explanation\)

Distance Covered

\(=(35\times \frac{10}{60}+20\times \frac{5}{60}\)

\(=(\frac{35}{6}+\frac{10}{6})=\frac{45}{6} km\)

Total time = 15 minutes

\(=\frac{1}{4} hour\)

\(\therefore \)Required average speed

\(=\frac{Distance covered}{Time taken}\)

\(=\frac{45}{6}\times 4\)

\(=30 kmph\)

Incorrect

\(Explanation\)

Distance Covered

\(=(35\times \frac{10}{60}+20\times \frac{5}{60}\)

\(=(\frac{35}{6}+\frac{10}{6})=\frac{45}{6} km\)

Total time = 15 minutes

\(=\frac{1}{4} hour\)

\(\therefore \)Required average speed

\(=\frac{Distance covered}{Time taken}\)

\(=\frac{45}{6}\times 4\)

\(=30 kmph\)

Question 20 of 100

20. Question

1 points

The ratio of length of two trains is 5:3 and the ratio of their speed is 6:5 The ratio of time speed is 6:5 The ratio time taken by them to cross a pole is

21. Question

A car travels 80 km in 2 hour and a train travels 180 km , in 3 hours the ratio of the speed of the car to that of the train is

2:3

3:4

3:2

4:3

Correct

\(Explanation\)

\(Speed=\frac{Distance}{Times}\)

\(\therefore\) Speed of car : Speed of train

\(=\frac{80}{2}:\frac{180}{3}=40:60=2:3\)

Incorrect

\(Explanation\)

\(Speed=\frac{Distance}{Times}\)

\(\therefore\) Speed of car : Speed of train

\(=\frac{80}{2}:\frac{180}{3}=40:60=2:3\)

Question 22 of 100

22. Question

1 points

A student rides on bicycle at 8 km/hour and reaches his school 2.5 minutes late. The next day he increases his speed to 10 km/hr and reaches school 5 minutes early. How far is the school from his house ?

5 KM

10 KM

8 KM

5/8 KM

Correct

\(Explanation\)

Let \(x km\), be the required distance.

Difference in time

\(=2.5+5=7.5 minutes\)

\(=\frac{7.5}{60}hrs.=\frac{1}{8} hrs.\)

\(Now, \frac{x}{8}-\frac{x}{10}=\frac{1}{8}\)

\(\Rightarrow \frac{5x-4x}{40}=\frac{1}{8}\)

\(\Rightarrow x=\frac{40}{8}=5km\)

Incorrect

\(Explanation\)

Let \(x km\), be the required distance.

Difference in time

\(=2.5+5=7.5 minutes\)

\(=\frac{7.5}{60}hrs.=\frac{1}{8} hrs.\)

\(Now, \frac{x}{8}-\frac{x}{10}=\frac{1}{8}\)

\(\Rightarrow \frac{5x-4x}{40}=\frac{1}{8}\)

\(\Rightarrow x=\frac{40}{8}=5km\)

Question 23 of 100

23. Question

1 points

A car can cover a certain distance in \(4\frac{1}{2} hours\). If the speed is increased by 5 km/hour. it would take \(\frac{1}{2}\) hour less to cover the same distance. Find the slower speed of the car

40 kmph

45 kmph

50 kmph

60 kmph

Correct

\(explanation\)

Let the initial speed of the car be \(x\) kmph and the distance by \(y\)km

Then \(y=\frac{9}{2}x…….(1)\)

\(and, y= 4(x+5)……….(2)\)

\(\therefore \frac{9x}{2}=4(x+5)\)

\(\Rightarrow 9x=8x+40\)

\(\Rightarrow x=40kmph\)

Incorrect

\(explanation\)

Let the initial speed of the car be \(x\) kmph and the distance by \(y\)km

Then \(y=\frac{9}{2}x…….(1)\)

\(and, y= 4(x+5)……….(2)\)

\(\therefore \frac{9x}{2}=4(x+5)\)

\(\Rightarrow 9x=8x+40\)

\(\Rightarrow x=40kmph\)

Question 24 of 100

24. Question

1 points

A student goes to school at the rate of \(2\frac{1}{2}\) km/hr and reaches 6 minutes late. If he travels at the speed of 3km/h. he is 10 minutes early. The distance between the school and his house is

4km

5 km

1 km

3 km

Correct

\(Explanation\)

Let the required distance be \(x\) km

\(\frac{x}{\frac{5}{2}}-\frac{x}{3}=\frac{16}{60}\)

\(\Rightarrow \frac{2x}{5}-\frac{x}{3}=\frac{4}{15}\)

\(\Rightarrow \frac{6x-5x}{15}=\frac{4}{15}\Rightarrow x=4 km\)

Incorrect

\(Explanation\)

Let the required distance be \(x\) km

\(\frac{x}{\frac{5}{2}}-\frac{x}{3}=\frac{16}{60}\)

\(\Rightarrow \frac{2x}{5}-\frac{x}{3}=\frac{4}{15}\)

\(\Rightarrow \frac{6x-5x}{15}=\frac{4}{15}\Rightarrow x=4 km\)

Question 25 of 100

25. Question

1 points

Two trains travel in the same direction at the speed of 56 kmph and 29 kmph respectively. The faster train passes a man in the slower train in 10 seconds. The length of the faster train (in metres) is

75 m

80 m

120 m

100 m

Correct

\(Explanation\)

Relative speed.

\(=56-29=57 kmph\)

\(=27\times \frac{5}{18}=\frac{15}{2} m/sec\)

\(\therefore\) Distance covered in 10 seconds

\(=\frac{15}{2}\times10=75 m\)

Incorrect

\(Explanation\)

Relative speed.

\(=56-29=57 kmph\)

\(=27\times \frac{5}{18}=\frac{15}{2} m/sec\)

\(\therefore\) Distance covered in 10 seconds

\(=\frac{15}{2}\times10=75 m\)

Question 26 of 100

26. Question

1 points

A and B together can do a piece of work in 12 days. while B alone can finish it in 30 days. A lone can finish the work in ….

20 days

15 days

18 days

25 days

Correct

\(Explanation\)

Time taken by \(A=\frac{xy}{x-y}\)

\(=\frac{12\times30}{30-12}\)

\(=\frac{12\times30}{18}=20 days\)

Incorrect

\(Explanation\)

Time taken by \(A=\frac{xy}{x-y}\)

\(=\frac{12\times30}{30-12}\)

\(=\frac{12\times30}{18}=20 days\)

Question 27 of 100

27. Question

1 points

A and B can do a piece of work in 36 days. B and C can do it in 60 days. A and C can do it in 45 days. C alone can do it in

28. Question

A can do a piece of work in 20 days and B can do the same piece of work in 30 days. Find in how many days both can do the work ?

12 days

16 days

14 days

10 days

Correct

\(Explanation\)

Time taken \(=\frac{xy}{x+y}\)

\(=\frac{20\times30}{20+30} days\)

\(=\frac{600}{50}=12 days\)

Incorrect

\(Explanation\)

Time taken \(=\frac{xy}{x+y}\)

\(=\frac{20\times30}{20+30} days\)

\(=\frac{600}{50}=12 days\)

Question 29 of 100

29. Question

1 points

A and B can do a given piece of work in 8 days, B and C can do the same work in 12 days and A, B, C complete it in 6 days and Number of days required to finish the work by A and C is

8 days

12 days

16 days

24 days

Correct

\(Explanation\)

Let the time taken by A and C is \(x\)days

\(\Rightarrow 6=\frac{2\times x\times8\times12}{8x\times96+12x}\)

\(6=\frac{x\times192}{20x+96}\)

\(120x+576=192x\)

\(72x=576\)

\(x=8 days\)

Incorrect

\(Explanation\)

Let the time taken by A and C is \(x\)days

\(\Rightarrow 6=\frac{2\times x\times8\times12}{8x\times96+12x}\)

\(6=\frac{x\times192}{20x+96}\)

\(120x+576=192x\)

\(72x=576\)

\(x=8 days\)

Question 30 of 100

30. Question

1 points

A and B can do a piece of work in 28 days 35 days respectively. They began to work together but a leaves after sometime and B completed remaining work in 17 days. After how many days did A leave ?

8 days

9 days

11 days

7 days

Correct

\(Explanation\)

Let A worked for \(x\)According to question

\(\frac{x}{28}+\frac{(x+17)}{35}=1\)

\(\Rightarrow \frac{5x+4(x+17)}{140}=1\)

\(\Rightarrow 5x+4x+68=140\)

\(\Rightarrow 9x=140-68=72\)

\(\Rightarrow x=8\)

\(\therefore A \) worked for 8 days

Incorrect

\(Explanation\)

Let A worked for \(x\)According to question

\(\frac{x}{28}+\frac{(x+17)}{35}=1\)

\(\Rightarrow \frac{5x+4(x+17)}{140}=1\)

\(\Rightarrow 5x+4x+68=140\)

\(\Rightarrow 9x=140-68=72\)

\(\Rightarrow x=8\)

\(\therefore A \) worked for 8 days

Question 31 of 100

31. Question

1 points

A and B alone can complete work in 9 days and 18 days respectively.They worked together; however 3 days before the completion of the work A left. In how many days was the work A left. In how many days was the work completed ?

8 days

9 days

7 days

10 days

Correct

\(Explanation\)

Here, x=9, y=18, m=3

Total time taken

\(\frac{(x+m)\times18}{9+18}\)

\(\frac{12\times18}{27}=8 days\)

Incorrect

\(Explanation\)

Here, x=9, y=18, m=3

Total time taken

\(\frac{(x+m)\times18}{9+18}\)

\(\frac{12\times18}{27}=8 days\)

Question 32 of 100

32. Question

1 points

If 5 men or 7 women can earn RS.5,250 per day, how much would 7 men and 13 women earn per day ?

RS. 17,100

RS. 16,100

RS. 11,700

RS. 11,600

Correct

\(Explanation\)

5 men=7 women

( Both earn same amount in 1 days)

\(\therefore 7 men=\frac{7}{5}\times7=\frac{49}{5} women\)

\(\therefore 7 men+13 women\)

\(=\frac{49}{5}+13=\frac{114}{5} womem\)

Now,

\(\therefore 7 women=RS. 5,250\)

\(\therefore \frac{114}{5} women\)

\(=\frac{5250}{7}\times\frac{114}{5}=RS. 17,100\)

Incorrect

\(Explanation\)

5 men=7 women

( Both earn same amount in 1 days)

\(\therefore 7 men=\frac{7}{5}\times7=\frac{49}{5} women\)

\(\therefore 7 men+13 women\)

\(=\frac{49}{5}+13=\frac{114}{5} womem\)

Now,

\(\therefore 7 women=RS. 5,250\)

\(\therefore \frac{114}{5} women\)

\(=\frac{5250}{7}\times\frac{114}{5}=RS. 17,100\)

Question 33 of 100

33. Question

1 points

Stanie and Paul take a piece of work for RS.28,800. one alone could do it in 36 days. the other in 48 days. with the assistance of an expert. they finish it in 12 days. How much remuneration the expert should get ?

RS.12000

RS.16000

RS. 18000

RS.10000

Correct

\(Explanation\)

Expert’s 1 day work \(=\frac{1}{12}-\frac{1}{36}-\frac{1}{48}\)

\(=\frac{12-4-3}{144}=\frac{5}{144}\)

\(\therefore \)Ratio of their respective work for 1 day

\(=\frac{1}{36}:\frac{1}{48}\:\frac{5}{144}\:=4:3:5\)

\(\therefore\) Expert’s share

\(=\frac{5}{12}\times28800=RS.12000\)

Incorrect

\(Explanation\)

Expert’s 1 day work \(=\frac{1}{12}-\frac{1}{36}-\frac{1}{48}\)

\(=\frac{12-4-3}{144}=\frac{5}{144}\)

\(\therefore \)Ratio of their respective work for 1 day

\(=\frac{1}{36}:\frac{1}{48}\:\frac{5}{144}\:=4:3:5\)

\(\therefore\) Expert’s share

\(=\frac{5}{12}\times28800=RS.12000\)

Question 34 of 100

34. Question

1 points

A and B were assigned t0 do a job for an amount of RS.1,200. A alone can do it in 15 days. while B can do it in 12 days. with the help of C, The share of amount that C earns is

RS. 300

RS. 400

RS.600

RS. 500

Correct

\(Explanation\)

According to the question

\(\frac{1}{15}+\frac{1}{12}+\frac{1}{C}=\frac{1}{5}\)

Let C’s work in day be \(\frac{1}{C}\)

\(\Rightarrow \frac{1}{C}=\frac{1}{5}-\frac{1}{15}-\frac{1}{12}\)

\(=\frac{12-4-5}{60}=\frac{1}{20}\)

\(\therefore A:B:C=\frac{1}{15}:\frac{1}{12}:=\frac{1}{20}\)

\(=4:5:3\)

\(\therefore C’s\) Share

\(=\frac{3}{12}\times1200=RS.300\)

Incorrect

\(Explanation\)

According to the question

\(\frac{1}{15}+\frac{1}{12}+\frac{1}{C}=\frac{1}{5}\)

Let C’s work in day be \(\frac{1}{C}\)

\(\Rightarrow \frac{1}{C}=\frac{1}{5}-\frac{1}{15}-\frac{1}{12}\)

\(=\frac{12-4-5}{60}=\frac{1}{20}\)

\(\therefore A:B:C=\frac{1}{15}:\frac{1}{12}:=\frac{1}{20}\)

\(=4:5:3\)

\(\therefore C’s\) Share

\(=\frac{3}{12}\times1200=RS.300\)

Question 35 of 100

35. Question

1 points

2 men and 1 women together can complete a piece of work in 12 days. while 4 women and 2 men together can do it in in 8 days. if a man gets RS.600 per day. How much should a woman get per day ?

RS. 400

RS. 480

RS. 360

RS. 450

Correct

\(Explanation\)

According to the question, \((2\times14) men+14 women\)

\(= 16 men+32 women\)

\(\Rightarrow (28-16) men\)

\(=(32-14) women\)

\(\Rightarrow 12 men=18 women\)

\(\Rightarrow 2 men=3 women\)

\(\therefore 1 women=\frac{2}{3}man\)

\(\therefore \)Amount received by 1 woman

per day \(=\frac{2}{3}\times 600=RS.400\)

Incorrect

\(Explanation\)

According to the question, \((2\times14) men+14 women\)

\(= 16 men+32 women\)

\(\Rightarrow (28-16) men\)

\(=(32-14) women\)

\(\Rightarrow 12 men=18 women\)

\(\Rightarrow 2 men=3 women\)

\(\therefore 1 women=\frac{2}{3}man\)

\(\therefore \)Amount received by 1 woman

per day \(=\frac{2}{3}\times 600=RS.400\)

Question 36 of 100

36. Question

1 points

A alone can complete a work in 10 days. B alone can do same work in 12 days and C alone can do the same work in 15 days. They jointly complete the work and earn RS.4500. what is the share of C

RS. 1200

RS. 1800

RS. 1500

RS. 900

Correct

\(Explanation\)

Ratio of 1 day’s work of A, B and C \(=\frac{1}{10}:\frac{1}{12}:\frac{1}{15}\)

\(=\frac{1}{10}\times60:\frac{1}{12}\times60:\frac{1}{15}\times60\)

\([LCM of 10,12 and 15=60]\)

\(=6:5:4\)

Sum of the terms of ratio

\(=6+5+4=15\)

\(\therefore C’s\)Share

\(RS.(\frac{4}{15}\times4500)\)

\(=RS.1200\)

Incorrect

\(Explanation\)

Ratio of 1 day’s work of A, B and C \(=\frac{1}{10}:\frac{1}{12}:\frac{1}{15}\)

\(=\frac{1}{10}\times60:\frac{1}{12}\times60:\frac{1}{15}\times60\)

\([LCM of 10,12 and 15=60]\)

\(=6:5:4\)

Sum of the terms of ratio

\(=6+5+4=15\)

\(\therefore C’s\)Share

\(RS.(\frac{4}{15}\times4500)\)

\(=RS.1200\)

Question 37 of 100

37. Question

1 points

P is four times as efficient. as Q. P can complete a work in 45 days less than Q. if both of them work together, then in how many days the work will be completed ?

12 days

10 days

15 days

30 days

Correct

\(Explanation\)

Time taken by P alone in doing work \(x\) days

\(\therefore 4x days\)

According to the question

\(\therefore 4x-x=45\)

\(\therefore 3x=45\)

\(\therefore x=\frac{45}{3}=15days\)

\(\therefore \)Time taken by Q = 60 days

\(\therefore (P+Q)’s\) day’s work

\(=\frac{1}{15}+\frac{1}{60}=\frac{1+4}{60}\)

\(\frac{5}{60}=\frac{1}{12}\)

\(\therefore \)Required time = 12 days

Incorrect

\(Explanation\)

Time taken by P alone in doing work \(x\) days

\(\therefore 4x days\)

According to the question

\(\therefore 4x-x=45\)

\(\therefore 3x=45\)

\(\therefore x=\frac{45}{3}=15days\)

\(\therefore \)Time taken by Q = 60 days

\(\therefore (P+Q)’s\) day’s work

\(=\frac{1}{15}+\frac{1}{60}=\frac{1+4}{60}\)

\(\frac{5}{60}=\frac{1}{12}\)

\(\therefore \)Required time = 12 days

Question 38 of 100

38. Question

1 points

A work could be completed in 100 days by some workers. However. due to the absence of 10 workers. it was completed in 110 days. The original numbers of workers was .

110

55

50

100

Correct

Let the original number of workers \(x\)

then

\(x\times100=(x-10)\times110\)

\(\Rightarrow 10x=11x-110\)

\(\Rightarrow x=110\)

Incorrect

Let the original number of workers \(x\)

then

\(x\times100=(x-10)\times110\)

\(\Rightarrow 10x=11x-110\)

\(\Rightarrow x=110\)

Question 39 of 100

39. Question

1 points

If two persons. with equal abilities. can do two jobs in two days, then 100 persons with equal abilities can do 100 similar jobs in

2days

100 days

10 days

5 days

Correct

\(Explanation\)

According to the question, 2 persons with equal abilities can do 1 job in 1 day

\(\therefore \)Time taken by 1 man to complete 1 job =2 days

\(\Rightarrow\) time taken by 100 persons in completing 100 jobs =2 days

Incorrect

\(Explanation\)

According to the question, 2 persons with equal abilities can do 1 job in 1 day

\(\therefore \)Time taken by 1 man to complete 1 job =2 days

\(\Rightarrow\) time taken by 100 persons in completing 100 jobs =2 days

Question 40 of 100

40. Question

1 points

A can do a work in 12 days . When he had worked for 3 days. B joined him. If they complete the work in 3 more days. in how many days can B alone finish the work ?

6 days

4 days

8 days

12 days

Correct

\(Explanation\)

Let B alone do the work in \(x\) days

\(\therefore 6\times\frac{1}{12}+3\times\frac{1}{x}=1\)

\(\Rightarrow \frac{1}{2}+\frac{3}{x}=1\)

\(\Rightarrow \frac{3}{x}=\frac{1}{2}\Rightarrow x=6days\)

Incorrect

\(Explanation\)

Let B alone do the work in \(x\) days

\(\therefore 6\times\frac{1}{12}+3\times\frac{1}{x}=1\)

\(\Rightarrow \frac{1}{2}+\frac{3}{x}=1\)

\(\Rightarrow \frac{3}{x}=\frac{1}{2}\Rightarrow x=6days\)

Question 41 of 100

41. Question

1 points

Match the following

Set-1 set-2

a)Sun temple 1) Bhopal

b)Chitrakut 2) tamil nadu

c)Kanchipuram 3) konark

d)Sanchi Stupa 4) uttar pradesh

a-3, b-4, c-2, d-1

a-1, b-4, c-2, d-3

a-4, b-1, c-2, d-3

a-2, b-1, c-4, d-3

Correct

a-3, b-4, c-2, d-1

Incorrect

a-3, b-4, c-2, d-1

Question 42 of 100

42. Question

1 points

Choose the correct options among the following

a)The headquarters of oil and natural gas is located at Dehradun

b)The Charminar is located at Hyderabad

c)The Indian school mines are located at Tatanagar

d)The central rice research institute is located at Cochin

a and b

c and d

Only a

Only d

Correct

a and b

Incorrect

a and b

Question 43 of 100

43. Question

1 points

Choose the correctly matched pair among the following

a)Dilwara temples – Rajasthan

b)Golden temple – Amritsar

c)National institute of virology – Delhi

a and b

a and c

only c

only b

Correct

Incorrect

a and b

Question 44 of 100

44. Question

1 points

The holy place Badrinath is located on the bank of which of the rivers

Alaknanda

Ganga

Yamuna

Saraswathi

Correct

Alaknanda

Incorrect

Alaknanda

Question 45 of 100

45. Question

1 points

What are the number of metropolitan cities in India according to the 2011 survey

53

63

43

73

Correct

53

Incorrect

53

Question 46 of 100

46. Question

1 points

which of the following statement is incorrect

the country which has the highest population of 134 crores is china

the percentage of population in India among the world is 10.04

the country at the second place of population with 121 crores among the world is India

All are correct

Correct

the percentage of population in India among the world is 10.04

reason: the percentage of population in india among world is 17.64

Incorrect

the percentage of population in India among the world is 10.04

reason: the percentage of population in india among world is 17.64

Question 47 of 100

47. Question

1 points

Choose the incorrect statements among the following

1) The highest gender ratio is in Kerala (1084)

2) The least gender ratio is in Haryana (877)

3) The gender ratio in union territories is in Pondicherry (1038)

4) The gender ratio in union territories is in Daman and dui (618)

none of the above

Only 3

All the above

Only 1

Correct

none of the above

Incorrect

none of the above

Question 48 of 100

48. Question

1 points

What is the gender ratio in India

930

940

1100

904

Correct

940

Incorrect

940

Question 49 of 100

49. Question

1 points

According to census survey in 2011 what percent of families are provided with drinking water

85.5%

87.7%

80%

90%

Correct

85.5%

Incorrect

85.5%

Question 50 of 100

50. Question

1 points

Which of the following state is least developed in rail routes?

Manipur

Jharkhand

Chattisgarh

Uttarakhand

Correct

Manipur

Incorrect

Manipur

Question 51 of 100

51. Question

1 points

Which one is not correctly matched?

South Eastern Railway – Bhubaneswar

South Central Railway – Secundrabad

South East Central Railway - Bilaspur

Eastern Railway - Kokata

Correct

South Eastern Railway – Bhubaneswar

Incorrect

South Eastern Railway – Bhubaneswar

Question 52 of 100

52. Question

1 points

Which one of the following is the correct sequence of the given tiger reserves of India from north to south?

Indravathi - Dudwa – Kanha – Bandipur

Dudwa – Kanha – Indravathi - Bandipur

Dudwa – Indravathi - Kanha - Bandipur

Kanha – Dudwa– Indravathi - Bandipur

Correct

Dudwa – Kanha – Indravathi – Bandipur

Incorrect

Dudwa – Kanha – Indravathi – Bandipur

Question 53 of 100

53. Question

1 points

Which of the following state(s) have got largest forest cover in terms of percentage with respect to its geographical area?

Mizoram

Assam

Sikkim

Tripura

Correct

Mizoram

Incorrect

Mizoram

Question 54 of 100

54. Question

1 points

The total forest area in India is around

63.72 million sq.km

75.5 million sq.km

61.61 million sq.km

55.55 million sq.km

Correct

63.72 million sq.km

Incorrect

63.72 million sq.km

Question 55 of 100

55. Question

1 points

Observe these statements

1) Largest area of forest in India is Madhya Pradesh

2) Largest forest covered Union territory is Andaman Nicobar

3) Lease forest covered Union territory is Daman and Diu

4) Punjab state has least forest covered in India

Which of these statements are NOT correct?

All are correct

Both 3 & 4 not correct

Only 2 not correct

Both 1& 2 not correct

Correct

All are correct

Incorrect

All are correct

Question 56 of 100

56. Question

1 points

Indian Forest (Amendment) Ordinance, 2017 promulgated by President Ram Nath Kovind in Nov, 2017 and Amends Indian Forest Act, 2017.

The following statements are not correct

1) The bill omits Bamboo (taxonomically a grass) grown in non-forest areas from definition of trees

2) Encourage Bamboo plantation by farmers, which will contribute to doubling farmer’s income by 2032

2nd statement is not correct

1st Statement is not correct

1,2 both are correct

1,2 both are not correct

Correct

2nd statement is not correct

Formers income will be doubled by 2022

Incorrect

2nd statement is not correct

Formers income will be doubled by 2022

Question 57 of 100

57. Question

1 points

Which of the following is Correct

Kalpakkam - Nuclear Power Project

Koyna - Hydro power Project

Bhavnagar - Tidal Power Project

All are correct

Correct

All

Incorrect

All

Question 58 of 100

58. Question

1 points

Which of the following are true with respect to Indian Railways?

It is the largest public sector undertaking

Indian Ralway network is the fourth largest in the world

Factories at Kapurthala and Perarnbur manufacture passenger coaches

The narrow gauge lines are confined to the hilly areas only

1,2,3,4

1,2,3

1,2,4

1,4,3

Correct

1,2,34

Incorrect

1,2,34

Question 59 of 100

59. Question

1 points

Which of the following is the oldest atomic power station?

Kalpakkam

Tarapur

Narora

Kota

Correct

Tarapur

Incorrect

Tarapur

Question 60 of 100

60. Question

1 points

Which one of the following statement is NOT correct?

India ranks third in the world in coal production

India is the second largest producer of silk in the world

India is the ninth largest steel producing country in the world

India is the second largest producer of nitrogenous fertilizers in the world

Correct

India ranks third in the world in coal production

Incorrect

India ranks third in the world in coal production

Question 61 of 100

61. Question

1 points

Which of the following is famous for Iron?

Kudremukh

Kollar

Khetri

Jharia

Correct

Kudremukh

Incorrect

Kudremukh

Question 62 of 100

62. Question

1 points

Ankaleshwar and Navagaon are two oil fields in

Gujarat

Bihar

West Bengal

Assam

Correct

Gujarat

Incorrect

Gujarat

Question 63 of 100

63. Question

1 points

Match the following

a. Nandadevi National park 1. Rajasthan

b.Keoladeo National Park 2.Assam

c.Manas Wildlife sanctuary 3. Gujarat

d.Gir National Park 4.Uttarakhand

a4, b1, c2, d3

a4, b3, c2, d1

a2, b1, c4, d3

a4, b2, c3, d1

Correct

a4, b1, c2, d3

Incorrect

a4, b1, c2, d3

Question 64 of 100

64. Question

1 points

Which of the following is not a UNESCO World Heritage Site?

None

Keoladeo National Park

Great Himalayan National Park

Kaziranga National Park– Indian rhinoceros

Correct

None

Incorrect

None

Question 65 of 100

65. Question

1 points

Which Indian state has the longest coastline?

Gujarat

Andhra Pradesh

Maharashtra

Tamil Nadu

Correct

Gujarat

Incorrect

Gujarat

Question 66 of 100

66. Question

1 points

The Indian states which have common borders with Pakistan are?

Gujarat, jammu & Kashmir, Punjab, Rajasthan

Gujarat, Himachal Pradesh , Haryana , Jammu and Kashmir

Gujarat, jammu & Kashmir, Punjab, Himachal Pradesh

Gujarat, jammu & Kashmir, Punjab, Haryana

Correct

Gujarat, jammu & Kashmir, Punjab, Rajasthan

Incorrect

Gujarat, jammu & Kashmir, Punjab, Rajasthan

Question 67 of 100

67. Question

1 points

Which of the following states has the max number of common borders with other Indian States?

Madhya Pradesh

Uttar Pradesh

Karnataka

West Bengal

Correct

Madhya Pradesh

Incorrect

Madhya Pradesh

Question 68 of 100

68. Question

1 points

The Indian rivers of the Indus basin are?

Sutlej , Beas, Ravi

Ganga Beas Ravi

Betwa ,Son, Kosi

Gomati ,Kosi, Gandhak

Correct

Sutlej , Beas, Ravi

Incorrect

Sutlej , Beas, Ravi

Question 69 of 100

69. Question

1 points

What is the standard time of India with reference to Greenwich Mean Time?

5.30 hr fast

11 hrs fast

None

5.30 hr slow

Correct

5.30 hr fast

Incorrect

5.30 hr fast

Question 70 of 100

70. Question

1 points

Which statement is correct about The Himadri

a) This range is called Greater Himalayas
b) This is the highest mountain Range
c) It is average height is about 6100 meters
d) The world highest peaks like Mount Everest, Kanchujunga etc.,

a, b,c only

All are correct

a,b only

a,d only

Correct

All are correct

Incorrect

All are correct

Question 71 of 100

71. Question

1 points

Which is the first National Park established in India?

Jim Corbett National Park

Bandhavgarh National park

Ranthambore National park

Kaziranga National park

Correct

Jim Corbett National Park

Incorrect

Jim Corbett National Park

Question 72 of 100

72. Question

1 points

From where the Adam’s Bridge begins?

Dhanuskodi

Kanyakumari

Mahabalipuram

Kanchipuram

Correct

Dhanuskodi

Incorrect

Dhanuskodi

Question 73 of 100

73. Question

1 points

Which one of the following is the correct sequence of the age of formation of mountains from youngest to the oldest of the given mountain ranges?

Deccan Traps, Westren Ghats, Vindhyas, Himalayas

Himalayas, Vindhyas, Westren Ghats, Deccan Traps

Himalayas, Deccan Traps, Westren Ghats, Vindhyas

Deccan Traps Himalayas, Vindhyas, Westren Ghats

Correct

Himalayas, Vindhyas, Westren Ghats, Deccan Traps

Incorrect

Himalayas, Vindhyas, Westren Ghats, Deccan Traps

Question 74 of 100

74. Question

1 points

The States which have common borders with China are:

Jammu and Kashmir

Sikkim

Arunachal Pradesh

Himachal Pradesh

1,2,3,4

1,4

1,2,3

1 & 2

Correct

1,2,3,4

Incorrect

Question 75 of 100

75. Question

1 points

Consider the following

Mahadeo Hills

Sahyadri Parvat

Satpura Hills

What is the correct sequence of the above from the north to the south?

1,3,2

2,1,3

1,2,3

2,3,1

Correct

1,3,2

Incorrect

1,3,2

Question 76 of 100

76. Question

1 points

West Bengal shares Boundaries with how many foreign

one

Three

two

four

Correct

Three

Incorrect

Three

Question 77 of 100

77. Question

1 points

Among the Union Territories of India, which one has the largest size?

Puducherry

Andaman Nicobar

Laxya dweep

None of these

Correct

Puducherry

Incorrect

Puducherry

Question 78 of 100

78. Question

1 points

India is divided into how many seismic zones to the earthquake zoning map

Four

three

five

seven

Correct

four

Incorrect

four

Question 79 of 100

79. Question

1 points

Which is the only Indian State that share its boundary with Sikkim

West Bengal

Assam

Bihar

Arunachal Pradesh

Correct

West Bengal

Incorrect

West Bengal

Question 80 of 100

80. Question

1 points

In which town, the Alaknanda and Bhagirathi rivers combine to form Ganga River

Devprayag

Haridwar

Rishikesh

Rudraprayag

Correct

Devprayag

Incorrect

Devprayag

Question 81 of 100

81. Question

1 points

Which of the following longitudes determines the India Standard Time

82.5 Degree E

84.2 degree E

86.5 Degree E

87.5 Degree E

Correct

82.5 Degree E

Incorrect

82.5 Degree E

Question 82 of 100

82. Question

1 points

Which Indian State shares longest international border

Rajasthan

Jammu Kashmir

Mizoram

West Bengal

Correct

Rajasthan

Incorrect

Rajasthan

Question 83 of 100

83. Question

1 points

Tropic of Cancer passes through which of the Indian States:

Rajasthan, Jharkhand, West Bengal, Mizoram

Gujarat, MP, Chattisgarh, Manipur

UP, MP, Bihar, Jharkhand

Maharashtra, Chattisgarh, Orissa, Andhra Pradesh

Correct

Rajasthan, Jharkhand, West Bengal, Mizoram

Incorrect

Rajasthan, Jharkhand, West Bengal, Mizoram

Question 84 of 100

84. Question

1 points

Which of the following rivers are not correctly matched with their tributaries?

Yamuna – Sind, Betwa, Ken

Brahmaputra – Dibang, Lohit , Tista

Narmada – Purna, Girna, Amravati

Krishna – Pranhita, Musi, Sileru

3 and 4

1,2 and 3

2,3 and 4

None of the above

Correct

3 and 4

Incorrect

3 and 4

Question 85 of 100

85. Question

1 points

Tumkur, where Geological Survey of India has found indications of Gold Reserves, is located in which among the following states?

Karnataka

Tamil nadu

Andhra Pradesh

Maharatsra

Correct

Karnataka

Incorrect

Karnataka

Question 86 of 100

86. Question

1 points

At which among the following places, Brahamputra takes a U-turn at the time of entering into India?

Namcha Barwa

Kula Kangri

Lunpo Gangri

Noijin Kangsang

Correct

Namcha Barwa

Incorrect

Namcha Barwa

Question 87 of 100

87. Question

1 points

Consider the following:

Burnpur in West Bengal

Chandrapur in Maharastra

Salem in Tamil Nadu

Vijaynagar in Karnataka

For which of the following, the above are famous ?

Steel Plants

Textile Industry

Coal Fields

Iron Ore Mines

Correct

Steel Plants

Incorrect

Steel Plants

Question 88 of 100

88. Question

1 points

Which among the following states leads in Handloom and Handicrafts clusters in India?

Uttar Pradesh

Maharastra

Odisha

West Bengal

Correct

Uttar Pradesh

Incorrect

Uttar Pradesh

Question 89 of 100

89. Question

1 points

Which among the following rivers is known as Yarlung Tsangpo in Tibet?

Brahamputra

Indus

Ganges

Yamuna

Correct

Brahamputra

Incorrect

Brahamputra

Question 90 of 100

90. Question

1 points

Prior to Census 2011, in which among the following census highest Sex Ratio was recorded in India?

Census 1961

Census 1941

Census 1951

Census 1971

Correct

Census 1961

Incorrect

Census 1961

Question 91 of 100

91. Question

1 points

In which of the following states, India’s maximum number of mines producing minerals (excluding minor minerals, petroleum (crude), natural gas and atomic minerals) are located?

Andhra Pradesh]

Gujarat

Jharkhand

Madhya Pradesh

Correct

Andhra Pradesh

Incorrect

Andhra Pradesh

Question 92 of 100

92. Question

1 points

Which among the following coal producer of India is outside the Coal India Ltd?

Singerani Collieries Company (Telangana)

Southern Eastern Coalfields (Bilaspur)

Bharat Coking Coal (Dhanbad)

Mahanandi Coalfields (Sambalpur)

Correct

Singerani Collieries Company (Telangana)

Incorrect

Singerani Collieries Company (Telangana)

Question 93 of 100

93. Question

1 points

In which of the following states of India, there is no Petroleum Chemicals and Petrochemicals Investment Region (PCPIR)?

Assam

Andhra Pradesh

West Bengal

Gujarath

Correct

Assam

Incorrect

Assam

Question 94 of 100

94. Question

1 points

The K2 Peak is located in which of the following ranges?

Central Himalayas

Trans-Himalayas

Karakoram range

Kumaun Himalayas

Correct

Central Himalayas

Incorrect

Central Himalayas

Question 95 of 100

95. Question

1 points

“Indira Gandhi super thermal power project “ is located in which state?

Haryana

Rajasthan

Punjab

Uttar Pradesh

Correct

Haryana

Incorrect

Haryana

Question 96 of 100

96. Question

1 points

Which of the following Monsoons account for most of the rainfall in India?

South West Monsoon

North East Monsoon

East Asia Monsoon

South East Monsoon

Correct

South West Monsoon

Incorrect

South West Monsoon

Question 97 of 100

97. Question

1 points

Which among the following is the most optimum place to source Geothermal Energy?

Ladakh district

Aravali hills

Coromandal Coast

Konkan coast

Correct

Ladakh district

Incorrect

Ladakh district

Question 98 of 100

98. Question

1 points

Which among the following city is called “Zero Mile Center” because of its location on India’s Geographic center?

Nagpur

Bhopal

Jabalpur

Indore

Correct

Nagpur

Incorrect

Nagpur

Question 99 of 100

99. Question

1 points

Consider the following:

Minor Irrigation Scheme: CCA less than 2000 Hectares

Medium Irrigation Scheme : CCA more than 2000 Hectares but less than 10000 Hectares

Major Irrigation Scheme : CCA more than 10000 Hectares

Which among the above statements is / are correct?

all are correct

Only 1 and 2 are correct

Only 2 and 3 are correct

all are incorrect

Correct

all are correct

Incorrect

all are correct

Question 100 of 100

100. Question

1 points

Indira Col makes the 3-point boundary between which of the following countries?